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Simplifying
5x2 + -1x + -10 = 115 + -1x
Reorder the terms:
-10 + -1x + 5x2 = 115 + -1x
Add 'x' to each side of the equation.
-10 + -1x + x + 5x2 = 115 + -1x + x
Combine like terms: -1x + x = 0
-10 + 0 + 5x2 = 115 + -1x + x
-10 + 5x2 = 115 + -1x + x
Combine like terms: -1x + x = 0
-10 + 5x2 = 115 + 0
-10 + 5x2 = 115
Solving
-10 + 5x2 = 115
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 5x2 = 115 + 10
Combine like terms: -10 + 10 = 0
0 + 5x2 = 115 + 10
5x2 = 115 + 10
Combine like terms: 115 + 10 = 125
5x2 = 125
Divide each side by '5'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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